George Henderson-Walshe

collaborators

3 papers

math.RT2026

The Buckyball Spectrum

George Henderson-Walshe

We use representation theory to calculate the $π$ -electron energy levels of Buckminsterfullerene and other symmetrical conjugated systems according to the Hückel approximation.

math.AG2026

$K_{2}$ -regularity is equivalent to smoothness for toric varieties

Christian Haesemeyer, George Henderson-Walshe

Recent work by Wanchun Shen shows that $K_{2}$ -regular affine local complete intersections of any dimension in characteristic zero are smooth. In this note, we show that the same hol…

math.CO2023

Algebraic Enumeration of Polypolyhedra

George Henderson-Walshe, Michael Langton, Jeanette Claire McLeod +1

Polypolyhedra are edge-transitive compounds of polyhedra. In this paper we use group theory to determine the number of distinct polypolyhedra whose symmetry group is any given fini…

The Buckyball Spectrum

K2​-regularity is equivalent to smoothness for toric varieties

Algebraic Enumeration of Polypolyhedra

$K_{2}$ -regularity is equivalent to smoothness for toric varieties